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Interval matrices: Regularity generates singularity
- 1.0482441 - ÚI 2019 RIV US eng J - Journal Article
Rohn, Jiří - Shary, S.P.
Interval matrices: Regularity generates singularity.
Linear Algebra and Its Applications. Roč. 540, 1 March (2018), s. 149-159. ISSN 0024-3795. E-ISSN 1873-1856
Institutional support: RVO:67985807
Keywords : interval matrix * regularity * singularity * P-matrix * absolute value equation * diagonally singilarizable matrix
OECD category: Applied mathematics
Impact factor: 0.977, year: 2018
It is proved that regularity of an interval matrix implies singularity of four related interval matrices. The result is used to prove that for each nonsingular point matrix A, either A or A^-1 can be brought to a singular matrix by perturbing only the diagonal entries by an amount of at most 1 each. As a consequence, the notion of a diagonally singularizable matrix is introduced.
Permanent Link: http://hdl.handle.net/11104/0277876
Number of the records: 1